A process that polishes a mirrored surface leaves an average of 2 small flaws per 5
of surface. The number of flaws on an area of surface follows a Poisson distribution.
a. What is the probability that a surface with area 3 m ×5 m will contain more than 5 flaws?
b. What is the probability that a surface with area 2 m × 3 m will contain no flaws?
c. What is the probability that 50 surfaces, each with dimensions 3 m × 6 m, will contain more than 350 flaws in total?
(a) The mean concentration of flaws is 0.4 per , so the mean number of flaws in a 15
area is 15(0.4) = 6.0.
Let ???? be the number of flaws in a 15 area. Then ????~ Poisson (6).
(b) Themean number of flaws in a 6 area is 6(0.4) = 2.4.
Let Y be the number of flaws in a 6 area. Then Y ~ Poisson (2.4).
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